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Multigrid simulations of detached shock waves
Author(s) -
Gerlinger P.,
Aigner M.
Publication year - 2004
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.689
Subject(s) - multigrid method , supersonic speed , mach number , residual , hypersonic speed , shock wave , convergence (economics) , scramjet , shock (circulatory) , mechanics , physics , mathematics , mathematical analysis , combustion , chemistry , algorithm , medicine , combustor , organic chemistry , partial differential equation , economics , economic growth
The use of multigrid convergence acceleration techniques is investigated for supersonic and hypersonic flows over blunt bodies. In these cases detached shock waves occur that usually complicate convergence for multigrid methods. It is shown that a simple damping of the restricted residual error enables convergence without the application of expensive upwind restriction or prolongation operators. The achieved reduction in CPU time increases with increasing free stream Mach number. A similar technique may be used for reactive flows where the restricted residual error is damped in regions of high chemical activity. A spherical nose projectile moving at Mach 6.46 in a stochiometric hydrogen–air mixture serves as a test case to demonstrate the efficiency of this approach in case of combustion. Copyright© 2004 John Wiley & Sons, Ltd.